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Finding the Fourth Proportional to 1,002.13, 1,382.63 and 582.40

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Solution

The fourth proportional to 1,002.13, 1,382.63 and 582.40 is: 803.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.13 : 1,382.63 = 582.40 : x
  2. Step 2: Convert to fraction form
    1,002.13/1,382.63 = 582.40/x
  3. Step 3: Cross multiply
    1,002.13x = 1,382.63 × 582.40
  4. Step 4: Simplify right side
    1,002.13x = 805,241.71
  5. Step 5: Solve for x
    x = 805,241.71/1,002.13
  6. Step 6: Final answer
    x = 803.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.